Operations with Number

Transcription

1 Series Student Operations with Number My name

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3 Series Operations with Number Contents Topic 1 Addition (pp. 1 24) my own addition chart language counting on strategy using number lines word problems missing addend problems doubles make 10 turnarounds Date completed / / / / / / / / / / / / / / / / / / Topic 2 Subtraction (pp ) language take away counting back counting on fi nd the difference relating addition and subtraction doubles facts to 10 facts to 15 / / / / / / / / / / / / / / / / / /

4 Series Operations with Number Contents Topic 3 Addition and subtraction (pp ) fact families counting on counting back explore mixed word problems Date completed / / / / / / / / / / Topic 4 Multiplication (pp ) equal groups groups and arrays meaning of symbol explore / / / / / / / / Topic 5 Division (pp ) sharing (partition) remainders grouping (quotition) / / / / / / Series Author: Rachel Flenley Copyright

5 Addition my own addition chart As you learn your addition facts, ask your teacher to quiz you on them. If you can say the answer straight away, they will put a dot in the answer square. Colour each square as you master the fact! Operations with Number 1 1 SERIES TOPIC

6 Addition language 1 What are some words or signs we use when we add or talk about adding? how many altogether? 2 Draw the pictures for this story. Add up all the lost items. Cut it out, staple it together and read your story to a partner or your teacher. 1S Go Swimming On Monday,1S started their swimming lessons. copy Samira lost her goggles and 1 sock. 2 SERIES 1 TOPIC Operations with Number

7 Addition language On Tuesday, Ethan lost his shirt. copy On Wednesday, Ella lost 1 shoe and her hat. On Thursday, Mia lost her jumper and 1 shoe. On Friday, Callum lost 2 socks and his shorts. Whoops! How many things did 1S lose altogether? On Saturday, Ms Smith rescued everything from the lost property box. Oh no! Phew! Operations with Number 3 1 SERIES TOPIC

8 Addition counting on strategy Counting on is one way to solve addition number facts =? = 6 1 Use the number track to count on 1 more. Finish the facts a = b = c = d = e = f = g = h = 2 Count on SERIES 1 TOPIC Operations with Number

9 Addition counting on strategy Counting on is most useful when we are adding 1, 2 or = 9 1 Count on. Write the number fact to match. a = b = c = d = e 3 + = f 4 + = g 5 + = h 9 + = Operations with Number 5 1 SERIES TOPIC

10 Addition counting on strategy 1 Draw the extra carriages to match the problems. Complete the facts. a = b = c = d = 2 Draw the extra flowers. Complete the number facts. a = b = c = d = 6 SERIES 1 TOPIC Operations with Number

11 Addition counting on strategy You will need: a partner scissors craft paper a copy of this page and page 8 copy What to do: Cut out the rocket parts and spread them out. Your job is to build as many rockets as you can by matching 3 parts. This rocket is ready for blast-off because 10 + = 13. Take turns building your rockets. How many can you get ready for blast-off? You will have some parts left over. Check with your teacher if your rockets are ready to go into space. Once your rockets have been checked, stick them on black paper. Add planets and moons. Don t forget the sun! Operations with Number 7 1 SERIES TOPIC

12 Addition counting on strategy copy SERIES 1 TOPIC Operations with Number

13 Addition using number lines Number lines are handy tools to use when adding. Look at =? We start at 4 and hop 2 spaces = 6 1 Hop along the number line and fi nish the number fact. a = b = c = The hops are on the line. Write the number fact to match. a 1 + = b 2 + = c 7 + = Operations with Number 9 1 SERIES TOPIC

14 Addition using number lines 1 Hop along the number line and fi nish the number fact. a = b = c = d = Show the story on the number line and as a fact. a Tahlia had 6 stickers. Her friend gave her 4 more. How many stickers does she have now? = b Mohammed kicked 3 goals on Tuesday and 6 goals on Wednesday. How many goals did he kick altogether? = 10 SERIES 1 TOPIC Operations with Number

15 Addition word problems 1 Draw pictures to match the stories. Write the number facts. a Millie Monkey has 4 bananas. Mikey Monkey has 3 bananas. How many bananas do they have altogether? + = b ert ear has 5 fi sh. etty ear has 3 fi sh. How many fi sh do they have altogether? + = c Scottie Dog has stolen 7 sausages. Cuddly Pup has stolen 8 sausages. How many sausages have they stolen altogether? + = Operations with Number 11 1 SERIES TOPIC

16 Addition missing addend problems Sometimes we have to solve problems when we know the answer but we don t know all of the problem. Noah had 4 cars. His gran gave him some more so he now has 7 cars. How many cars did she give him? We know he had 4 cars. We know he ends up with 7 cars. What we don t know is how many cars his gran gave him. One way to fi nd out is to draw or use counters. We draw 4 cars. Then we can draw more cars to get to 7 cars altogether. We count how many more cars we drew = 7 1 Zoe had 3 fi sh. She bought some more and now has 5 fi sh. How many fi sh did she buy? We know she had fi sh. We know she ends up with fi sh. We need to fi nd out how many fish she bought. Show your solution and fi nish the fact. 3 + = 5 12 SERIES 1 TOPIC Operations with Number

17 Addition missing addend problems 2 Lily ate 3 muffi ns before her party. She ate some more muffi ns during her party. y the end of the party, she had eaten 9 muffi ns altogether. How many muffi ns did she eat at the party? Show your solution and fi nish the fact. 3 + = 9 3 Aman had some toy dinosaurs. His dad bought him 5 more. Now he has 11 dinosaurs. How many dinosaurs did he have to begin with? Show your solution and fi nish the fact. + 5 = 11 Operations with Number 13 1 SERIES TOPIC

18 Addition missing addend problems 1 Solve these problems. You can draw pictures or use counters to help. a 2 + = 5 b 3 + = 8 c + 8 = 10 d 6 + = 11 e 3 + = 10 f + 4 = 13 2 The answer is 14. How many different adding facts can you think of? Here is one to get you started = SERIES 1 TOPIC Operations with Number

19 Addition doubles 1 Draw the same number of spots on the empty side. Write the number fact to match. a = b + = c + = d + = e + = f + = 2 Draw the missing legs. Write the number fact to match. a + = b + = c + = d + = Operations with Number 15 1 SERIES TOPIC

20 Addition doubles 1 These twins show us lots of doubles facts. Here are some = = 14 Can you fi nd any more? Write them. 16 SERIES 1 TOPIC Operations with Number

21 Addition doubles You will need: a partner scissors copy What to do: Cut out the tens frames. Shuffle them and spread them out, face down. Take turns turning 2 frames over at a time. If they are a double and you can say the matching number fact, you keep the pair. Play until all cards are gone. What to do next: Spread the cards out face up. Race against each other to fi nd doubles. Once all the cards are taken, take turns saying your doubles facts. Operations with Number 17 1 SERIES TOPIC

22 Addition doubles You will need: a partner 6 counters each 2 dice What to do: Take turns rolling 1 die. Double the number you roll and say the number fact. Place a counter on the answer. The fi rst person to cover all their numbers blasts-off fi rst! is 6. I ll cover What to do next: Roll 2 dice and add the dots. Work out what the double of the total will be. You can use counters to help. Record the number facts you make SERIES 1 TOPIC Operations with Number

23 Addition make 10 Knowing the addition facts that make 10 is really handy. It helps us with trickier adding problems. 1 Practise your addition combinations to 10. a = 10 b 1 + = 10 c 2 + = 10 d 3 + = 10 e 4 + = 10 f 5 + = 10 g 6 + = 10 h 7 + = 10 i 8 + = 10 j 9 + = 10 k 10 + = 10 2 You will need 6 different coloured pencils for this activity. Colour match the balloons that add to ten Operations with Number 19 1 SERIES TOPIC

24 Addition make 10 Look at =? We can use the make 10 strategy to solve this. We place 9 counters. We need to add 5 more. We put 1 in the fi rst tens frame. We have made 10. We need to add 4 more into the other frame. Now we have = 14 1 Colour more counters to solve these problems. Fill up the left tens frame fi rst. Colour 3 more a = 10 2 in one frame in the other Colour 4 more b = in one frame in the other Colour 6 more c = in one frame in the other 20 SERIES 1 TOPIC Operations with Number

25 Addition make 10 How do we make 10 when adding on to 8? =? We place 8 counters. We need to add 4 more. We put 2 in the first tens frame. We have made 10. We need to add 2 more into the other frame. Now we have = 12 2 Colour more counters to solve these problems. Colour 3 more a = in one frame in the other Colour 7 more b = in one frame in the other Colour 6 more c = in one frame in the other Colour 4 more d = in one frame in the other Operations with Number 21 1 SERIES TOPIC

26 Addition make 10 1 Colour more counters to solve these. a = in one frame in the other b = in one frame in the other c = in one frame in the other 2 Write the addition facts to match the tens frames. a + = b + = c + = 22 SERIES 1 TOPIC Operations with Number

27 Addition turnarounds Turnarounds make solving addition problems easier =? It is quicker to turn this around. We start at 6 and count on = 8 This is the same as = 8 1 Use turnarounds to solve these. Write the matching facts. a b = = = = c d = = = + = e f = + = = + = Operations with Number 23 1 SERIES TOPIC

28 Addition turnarounds You will need: a partner counters 2 dice What to do: Decide who will go fi rst. Roll the 2 dice. Decide which number is easiest to start with and add the numbers. Write the fact on the fact wall. Play together until you have fi lled all the bricks. 24 SERIES 1 TOPIC Operations with Number

29 Subtraction language When we subtract, we take away one number or amount from another. Luka had 9. He gave 2 to his brother. He had 7 left. We write this as 9 2 = 7 1 Put a next to the words you think mean subtract. subtract take away fi nd the difference plus add minus how many altogether? 2 Is this a subtraction story? Write or tell someone what you think. Ali had 6. He gave 3 to his friend. How many does he have left? 3 Is this a subtraction story? Write or tell someone what you think. Ali had 6. His friend gave him 6 more. How many does he have now? Operations with Number 25 2 SERIES TOPIC

30 Subtraction take away One way to subtract is to take things away or cross them out and count how many are left. 6 2 = 4 There are 6 milkshakes. 2 milkshakes are sold. 4 are left. 1 Cross out the pictures to match these number facts. a b 6 2 = = 1 c d 4 2 = = 6 2 Show these picture stories as number facts. a b = = c d = = 26 SERIES 2 TOPIC Operations with Number

31 Subtraction take away You will need: a partner scissors 10 counters a copy of this page and page 28 copy What to do: Cut out the subtraction stories and the number facts. Put the subtraction stories in a pile and turn them face down. Spread out the number facts. Player 1, take a story and fi nd the number fact that matches and solves your story. Tell the story to your partner and show it with counters. Player 2, take your turn. Play until all the stories have been told. Chloe had 8 cakes. Her brother ate 4. She had 4 left. Mia had 6. 4 flew away. How many did she have left? Jack had popped. How many did he have left? Operations with Number 27 2 SERIES TOPIC

32 Subtraction take away 7 were on the. 6 went to the. How many stayed on the? 9 mums and dads came on the class. 4 got scared and had to go. How many mums and dads stayed? copy Nadia borrowed 5. Dad cooked 8 for lunch. She read 2 and gave them back. How many does she still have? 2 were left. How many were eaten? 6 4 = = = = = = 2 28 SERIES 2 TOPIC Operations with Number

33 Subtraction counting back Another way to subtract is to count back. Number lines can help us do this as counting backwards can be tricky! 8 3 =? We start at 8 and jump back 3 spaces. 8 3 = 5 1 Count back using the number line. Finish the number facts a 5 3 = b 9 2 = c 4 2 = d 10 5 = e 7 6 = f 10 2 = Remember we count the jumps or spaces, not the numbers! Operations with Number 29 2 SERIES TOPIC

34 Subtraction counting on Counting on is an addition strategy but it is also a useful way to solve subtraction problems. We start at the smaller number and count on to get to the bigger number. 8 5 =? We start at 5. We count on till we get to We counted on 3 more numbers. 8 5 = 3 1 Use the counting on strategy to solve these problems. Start at the smaller number and count on. a 5 2 = b 8 6 = I counted on 3 more numbers. I counted on numbers. more c 7 4 = 4 d 10 7 = 7 I counted on numbers. more I counted on numbers. more 30 SERIES 2 TOPIC Operations with Number

35 Subtraction counting on 1 Colour the 2 numbers. Jump from one to the other. How many jumps are there? Finish the fact. a = b = c = d = e = Operations with Number 31 2 SERIES TOPIC

36 Subtraction find the difference When we subtract, we can compare 2 groups or numbers and ask ourselves, What is the difference? Does one group have more than the other? Does one group have less than the other? Look at these 2 trains. What is the difference? 5 This train has 5 carriages. 3 This train has only 3 carriages. If they both had 3 carriages, they would be the same. If they both had 5 carriages, they would be the same. What is the difference? The difference is 2 carriages. 1 What is the difference? a b The difference is The difference is c d The difference is The difference is 32 SERIES 2 TOPIC Operations with Number

37 Subtraction find the difference What if there is no difference? How do we say or record that? These shirts both have 3 buttons. There is no difference. The difference is 0. 1 Draw buttons to show no difference. a The difference is b The difference is 2 Draw fi sh in the bowls. Make one bowl have no difference. Make the other bowl have a difference of 2. no difference difference of 2 Operations with Number 33 2 SERIES TOPIC

38 Subtraction find the difference You will need: 1 partner or more scissors counters a copy of this page copy What to do: Cut out the number cards. Put the grey 10 card face up. Put the others in a pile face down. Each player draws one card. The person whose card has the greatest difference from 10 wins a counter. Play till all the cards are gone. Who has the most counters? SERIES 2 TOPIC Operations with Number

39 Subtraction relating addition and subtraction Addition and subtraction are related. They do up and undo each other. You will need: a partner 5 blue counters and 5 red counters What to do: a Put out 2 blue counters. Then put out 3 red counters. What addition fact have you have made? b Now take the 3 red counters away. How many blue counters are left? What subtraction fact have you have made? c Put the 3 red counters back. This time, take away the 2 blue counters. What subtraction fact have you made? + = 5 = 5 = What to do next: Use counters to make this addition fact = 7 Can you make 2 subtraction facts? I will take away these 3. My fact is 7 3 = 4 Operations with Number 35 2 SERIES TOPIC

40 Subtraction relating addition and subtraction If we know our addition facts, we can use them to learn our subtraction facts. If we know = 7 we also know 7 3 = 4 and 7 4 = 3 1 addition fact gives us 2 subtraction facts. 1 Use 2 coloured pencils and colour the boxes to match the addition fact. Write the matching subtraction facts. a 5 2 = = = b 6 4 = = 6 6 = c 8 = = 8 8 = 2 Fill in the missing numbers in these facts. = 4 + = = 36 SERIES 2 TOPIC Operations with Number

41 Subtraction relating addition and subtraction Can we always make 2 subtraction facts from 1 addition fact? You will need: a partner 5 blue counters and 5 red counters What to do: a Put out 2 blue. Then put out 2 red. What addition fact have you have made? b Now take the 2 red away. How many are left? What subtraction fact have you have made? c Put the 2 red back. This time, take away the 2 blue. What subtraction fact have you made? d What do you notice? + = = = What to do next: Take turns making these addition facts using red and blue counters. Ask your partner to make matching subtraction facts using the same counters. Record them here. a = = b = = Operations with Number 37 2 SERIES TOPIC

42 Subtraction doubles We can use our addition strategies help us solve subtraction problems. Look at 10 5 =? We know the doubles fact = 10 so we know that 10 5 = 5 1 Cover 1 side of the domino to help solve these subtraction problems. a 4 2 = b 8 4 = c 6 3 = d 12 6 = 2 Finish and match the addition and subtraction doubles number facts = = = 8 4 = = 10 5 = = 12 6 = 38 SERIES 2 TOPIC Operations with Number

43 Subtraction facts to 10 1 essie aker baked lots of and made trays of 10. Marvin Muncher helped himself to the trays! Use a strategy of your choice to fi nd how many Marvin stole from each tray. Write the subtraction number fact. a b 10 2 = 8 10 = c d 10 = 10 = e f 10 = 10 = g h 10 = 10 = Operations with Number 39 2 SERIES TOPIC

44 Subtraction facts to 15 You will need: a partner a die copy What to do: Cut out the cards below and place them in a pile face down. Player 1, take a card and roll the die. Using a strategy of your choice, subtract the number on the die from the number on your card. Write the number fact in your math book. Player 2, have a turn. Play until you both have 10 facts. Ask your teacher to check your facts. Can you score 10 10? SERIES 2 TOPIC Operations with Number

45 Addition and subtraction fact families Here we have 5 black counters and 3 grey counters. That s 8 counters altogether. What addition and subtraction facts can we make using 3, 5 and 8? = = = = 3 We can make 4 facts. This is called a fact family. 1 Write the fact family. a = = 5 2 = 5 = b 4 + = 1 + = 5 = 5 = c + = + = = = 2 Use 2 coloured pencils to colour match the facts into 2 families = = = = = = = = 2 Operations with Number 41 3 SERIES TOPIC

46 Addition and subtraction fact families 1 This family only uses the numbers 3, 2 and 5. Give each family member a fact = 5 2 This family only uses the numbers 4, 2 and 6. Give each family member a fact. 42 SERIES 3 TOPIC Operations with Number

47 Addition and subtraction fact families You will need: scissors tape a sticky note a copy of page 44 What to do: Cut out the hexagon house on page 44. Think of 3 numbers you could make a fact family with or ask your teacher for some. Write the numbers in the windows and on the door. Carefully cut the door so it swings open. Tape the sticky note to the back of the hexagon behind the door. Write the matching fact family on the note so that when you open the door, you see your fact family. Decorate your house. What to do next: Stick the classes houses on to the wall or onto a road made from brown paper. Stand in front of each house and tell a partner what the fact family will be. Open the door and check to see if you are right! = = = = 5 Operations with Number 43 3 SERIES TOPIC

48 Addition and subtraction fact families copy 44 SERIES 3 TOPIC Operations with Number

49 Addition and subtraction counting on We can use number grids to help us count on = = Count on 1 or 2 to fi nish these number facts. a = d = b = e = c = f = 2 Count on 10 to fi nish these number facts. a = d = b = e = c = f = 3 Fill in the gaps Operations with Number 45 3 SERIES TOPIC

50 Addition and subtraction counting back We can also use number grids to help us count back = = Count back 1 or 2 to fi nish these number facts. a 25 1 = b 12 1 = c 39 1 = d 23 2 = e 36 2 = f 44 2 = 2 Count back 10 to fi nish these number facts. a = b = c = d = e = f = 3 Fill in the gaps SERIES 3 TOPIC Operations with Number

51 Addition and subtraction explore You will need: a partner scissors counters copy What to do: Cut out the number cards below and put them in a pile face down. Decide if you are playing an adding or subtracting game and if you are going to race against each other or take turns. Take 2 cards and add or subtract the 2 numbers. If you are subtracting, make sure you start with the bigger number. Record your fact. Use counters to help if you want. Play until you have used all the cards. Ask your teacher to check your facts! Operations with Number 47 3 SERIES TOPIC

52 Addition and subtraction explore You will need: a partner scissors a pencil copy What to do: Draw dots on the right side to make the dominoes add to 10. Cut out the cards and write the matching fact and its turnaround on the back. Put them in a pile with the dots facing up. Take turns taking a domino card. Without looking at the back, say the matching fact and turnaround. Check. If you are right, you keep the card! Play until they are all gone. 48 SERIES 3 TOPIC Operations with Number

53 Addition and subtraction explore You will need: 3 partners scissors a pencil a die copy What to do: Cut out and choose a game board each. Take turns rolling a die. If you can use the number to complete one of your number facts, write it in. If not, the play moves on. The first person to fill their game board wins. Player 1 Player = = = 4 2 = 4 1 = 2 Player = = = 6 1 = 2 8 = = = = 5 2 = 4 7 = 5 Player = = = 6 3 = 3 1 = 1 Operations with Number 49 3 SERIES TOPIC

54 Addition and subtraction explore You will need: a partner 10 counters What to do: Player 1, put some of the 10 counters in 1 hand and some in the other hand. Put both hands behind your back. Player 2, point to a hand. Player 1 will show you what s in that hand and your job is to guess how many counters are in the other hand. If you are right, you score a point. Swap roles. The fi rst person to 5 points, wins. I see 3. You have 7 counters in your other hand because = 10 What to do next: Too easy? Play the game with 15 or 20 counters. 50 SERIES 3 TOPIC Operations with Number

55 Addition and subtraction explore You will need: partners a die a mini packet of Smarties or sultanas each What to do: Count how many Smarties or sultanas are in your packet. Take turns rolling the die. Subtract that number of Smarties, then say and write your number fact. If you are right, those Smarties are yours to be eaten! Play until you get to zero. You must roll the exact number to fi nish. Who fi nishes fi rst? Yum! 4 Smarties for me. My number facts: Operations with Number 51 3 SERIES TOPIC

56 Addition and subtraction explore What to do: Look at the bowling pins. Which pins could you knock down to score 6? Find 2 different ways and record them below. Remember, you can knock down more than 2 pins! What to do next: Find 2 different ways to score 7 and 8. My facts: 52 SERIES 3 TOPIC Operations with Number

57 Addition and subtraction mixed word problems Sometimes the tricky part of a word problem is not doing the fact, but working out whether you need to add or subtract. We need to think, Does this problem want me to join groups? Then I know I am adding. Am I comparing groups or taking a group away? Then I know I am subtracting. Looking out for clue words can help too. These are words like altogether, difference and left. They tell us if we are adding or subtracting. 1 Work out if the problem is asking you to add or subtract and write the number fact to match. Circle the clue words. a Ellie eats 3. Then she eats 4 more. How many does she eat altogether? = b Thomas had 8. 5 sailed away. How many have left? did he = c There are roll away. How many are left? = d ronte has 3. Lucy has 9. How many teddies do they have altogether? = Operations with Number 53 3 SERIES TOPIC

58 Addition and subtraction mixed word problems 1 Solve: a At the start of the day there were 10. At the end of the day there were 3 left. How many were sold? b Ari planted 6. Then he planted some more. Now he has 13 in his garden. How many more did he plant? c Choose a number between 5 and 20. Write it in the box. How many addition and or subtraction facts can you write that include this number? 54 SERIES 3 TOPIC Operations with Number

59 Multiplication equal groups When we count in groups, the groups must be equal or the same. Are these groups equal? 3 strawberries 4 strawberries No, one group has 1 more strawberry. They are not equal. 1 Are these groups equal? If so, draw =. If not, draw in the boxes. a b c d 2 Draw dots on the right side of the dominoes to make them equal. a b c 3 Mmmmmm, candies. Draw some candies on the bags. Make sure each bag has the same amount. This means they are equal. Operations with Number 55 SERIES 4 TOPIC

60 Multiplication equal groups How many bananas? Let s look at these equal groups There are 3 bunches of. There are 2 in each bunch. There are 6 altogether. 1 How many a? 2 bunches of 3 is altogether. b? bags of is altogether. c? plates of is altogether. d? bowl of is altogether. 56 SERIES 4 TOPIC Operations with Number

61 Multiplication equal groups 1 Draw and fi nish the number facts. a Draw 3 cupcakes on each plate. How many cakes? groups of is altogether. b Draw 4 faces in each window. How many faces? groups of is altogether. c Draw 2 cats on each mat. How many cats? groups of is altogether. Operations with Number 57 4 SERIES TOPIC

62 Multiplication equal groups You will need: pencils What to do: These children are all turning 5 today. Tom Tia Tim Tara a Draw the right number of candles on the cakes. b How many candles are there altogether? What to do next: How did you work it out? Explain your strategy to a partner. 58 SERIES 4 TOPIC Operations with Number

63 Multiplication groups and arrays We can arrange objects into groups or into rows. This is 2 groups of 4 apples. This is 2 rows of 4 apples. There are 8 apples altogether. There are still 8 apples altogether. 1 How many are there? a b rows of is groups of is c d rows of is groups of is 2 Draw: a 2 groups of 3 flowers b 2 rows of 3 flowers How many flowers? How many flowers? Operations with Number 59 4 SERIES TOPIC

64 Multiplication groups and arrays You will need: pencils counters a partner What to do: Work with your partner to fi nd solutions for the following problems. Use counters or draw pictures to help. a There are 5 sail boats at sea. Each boat carries 3 sailors. How many sailors are at sea? b 1F line up after lunch in pairs. There are 8 sets of pairs. How many students in 1F? c 1F have planted a flower garden. They have planted 5 flowers in each row. There are 15 flowers altogether. How many rows are there? 60 SERIES 4 TOPIC Operations with Number

65 Multiplication meaning of symbol We know that + means add or join means subtract = means the same as. What does mean? It means of. 2 5 We have 2 rows of 5 1 How many? 2 rows of 5 is 10 altogether. 2 5 = 10 a 3 rows of 4 is = 5 butterflies 5 butterflies b 2 rows of is = c groups of is = 2 Draw 3 rows of faces. Put 3 faces in each row. 3 rows of 3 is 3 3 = Operations with Number 61 4 SERIES TOPIC

66 Multiplication explore You will need: a partner counters an eraser copy What to do: Cut out the cards and put them in a pile. Take turns taking a card. Make the fact with counters, then write the answer in the box. Ask your partner to check. If it s right, you keep the card. If it s wrong, rub out your answer and put the card on the bottom of the pile. Play until all the cards are gone. 6 rows of = 3 rows of = 2 rows of = 4 rows of = 1 row of = 2 rows of = 2 rows of = 3 rows of = 5 rows of = 1 row of = 4 rows of = 2 rows of = 62 SERIES 4 TOPIC Operations with Number

67 Multiplication explore You will need: a partner 2 dice cubes sticky notes What to do: You are about to build towers. One of you will roll for the number of towers, one of you will roll for the number of cubes in the tower. Decide who does what. Roll both dice, then build the matching towers. On a sticky note, write the matching fact and put it in front of the towers. Play until you have created 5 facts. What to do next: Take turns building a set of towers. Your partner works out what fact it shows and writes it. Operations with Number 63 4 SERIES TOPIC

68 Division sharing (partition) When we share things into groups evenly, every group has the same number. This means they are equal. Here are 6 cupcakes. Here are 3 children. If we share the cakes out evenly, every child gets 2 cupcakes. Yum! We call these fair shares because they are equal. 1 Look at these shares. Are they fair? the ones that are not fair. the fair shares. a b c d 2 Draw some flowers in the pots so that all the pots are equal. This means they have the same number of flowers. 64 SERIES 5 TOPIC Operations with Number

69 Division sharing (partition) You will need: a partner What to do: Cut out the bears and honey pots. Share out the honey pots so that each bear gets a fair share of the honey pots. How many does each get? copy What to do next: a Put the back. Hide 4 behind your back. How many does each get now? b Put the back. Hide 2 behind your back. Now you have 2. How many does each get now? Operations with Number 65 5 SERIES TOPIC

70 Division sharing (partition) You will need: a partner counters What to do: Use counters or draw pictures to solve these fair share problems. Show how you solved the problem. a There are 10 on 5. How many are there on each? b There are 8 and 4 toy. How many does each get? c 6 lay 12. How many does each lay? 66 SERIES 5 TOPIC Operations with Number

71 Division remainders Sometimes we have leftovers when we try to make fair shares. Here are 8 cupcakes. Here are 3 children. When we share them out, we can give 2 to each. The shares are fair. ut we have 2 left over. 1 Use counters or draw pictures to work out whether we can make fair shares without leftovers. a Share 5 between 2. Can we make fair shares? b 7 go on a. They sit in pairs. Does everyone have a partner? Operations with Number 67 5 SERIES TOPIC

72 Division grouping (quotition) Sometimes, we know how many things we want in a group but we don t know how many groups we can make. Each needs 2. We have 6. How many can we decorate? We can decorate 3. 1 Circle groups of 2 feet. a How many boys? b How many girls? c How many birds? 2 Draw 24 sets of eyes. Circle groups of 2. How many? 68 SERIES 5 TOPIC Operations with Number

73 Division grouping (quotition) You will need: a partner 24 popsicle sticks What to do: You are at the zoo. Pretend the popsicle sticks are animal legs and work out how many animals could be at the zoo. Use all 24 popsicle sticks for each question. Show your solutions. a How many are at the zoo? b How many are at the zoo? c How many are at the zoo? d How many are at the zoo? Operations with Number 69 5 SERIES TOPIC